{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br><br><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Listed Volatility and Variance Derivatives\n",
    "\n",
    "**Dr. Yves J. Hilpisch &mdash; Wiley Finance (2016)**\n",
    "\n",
    "<img src=\"http://hilpisch.com/images/lvvd_cover.png\" alt=\"Derivatives Analytics with Python\" width=\"30%\" align=\"left\" border=\"0\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Advanced Modeling of the VSTOXX Index"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Market Quotes for Call Options"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "path = 'data/'\n",
    "h5 = pd.HDFStore(path + 'vstoxx_data_31032014.h5', 'r')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<class 'pandas.io.pytables.HDFStore'>\n",
       "File path: data/vstoxx_data_31032014.h5\n",
       "/futures_data            frame        (shape->[8,6])  \n",
       "/options_data            frame        (shape->[395,8])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "h5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Int64Index: 395 entries, 46170 to 46564\n",
      "Data columns (total 8 columns):\n",
      "DATE         395 non-null datetime64[ns]\n",
      "EXP_YEAR     395 non-null int64\n",
      "EXP_MONTH    395 non-null int64\n",
      "TYPE         395 non-null object\n",
      "STRIKE       395 non-null float64\n",
      "PRICE        395 non-null float64\n",
      "MATURITY     395 non-null datetime64[ns]\n",
      "TTM          395 non-null float64\n",
      "dtypes: datetime64[ns](2), float64(3), int64(2), object(1)\n",
      "memory usage: 27.8+ KB\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>DATE</th>\n",
       "      <th>EXP_YEAR</th>\n",
       "      <th>EXP_MONTH</th>\n",
       "      <th>TYPE</th>\n",
       "      <th>STRIKE</th>\n",
       "      <th>PRICE</th>\n",
       "      <th>MATURITY</th>\n",
       "      <th>TTM</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>46170</th>\n",
       "      <td>2014-03-31</td>\n",
       "      <td>2014</td>\n",
       "      <td>4</td>\n",
       "      <td>C</td>\n",
       "      <td>1.0</td>\n",
       "      <td>16.85</td>\n",
       "      <td>2014-04-18</td>\n",
       "      <td>0.049</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46171</th>\n",
       "      <td>2014-03-31</td>\n",
       "      <td>2014</td>\n",
       "      <td>4</td>\n",
       "      <td>C</td>\n",
       "      <td>2.0</td>\n",
       "      <td>15.85</td>\n",
       "      <td>2014-04-18</td>\n",
       "      <td>0.049</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46172</th>\n",
       "      <td>2014-03-31</td>\n",
       "      <td>2014</td>\n",
       "      <td>4</td>\n",
       "      <td>C</td>\n",
       "      <td>3.0</td>\n",
       "      <td>14.85</td>\n",
       "      <td>2014-04-18</td>\n",
       "      <td>0.049</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46173</th>\n",
       "      <td>2014-03-31</td>\n",
       "      <td>2014</td>\n",
       "      <td>4</td>\n",
       "      <td>C</td>\n",
       "      <td>4.0</td>\n",
       "      <td>13.85</td>\n",
       "      <td>2014-04-18</td>\n",
       "      <td>0.049</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46174</th>\n",
       "      <td>2014-03-31</td>\n",
       "      <td>2014</td>\n",
       "      <td>4</td>\n",
       "      <td>C</td>\n",
       "      <td>5.0</td>\n",
       "      <td>12.85</td>\n",
       "      <td>2014-04-18</td>\n",
       "      <td>0.049</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            DATE  EXP_YEAR  EXP_MONTH TYPE  STRIKE  PRICE   MATURITY    TTM\n",
       "46170 2014-03-31      2014          4    C     1.0  16.85 2014-04-18  0.049\n",
       "46171 2014-03-31      2014          4    C     2.0  15.85 2014-04-18  0.049\n",
       "46172 2014-03-31      2014          4    C     3.0  14.85 2014-04-18  0.049\n",
       "46173 2014-03-31      2014          4    C     4.0  13.85 2014-04-18  0.049\n",
       "46174 2014-03-31      2014          4    C     5.0  12.85 2014-04-18  0.049"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "option_quotes = h5['options_data']\n",
    "option_quotes.info()\n",
    "option_quotes.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Timestamp('2014-04-18 00:00:00'),\n",
       " Timestamp('2014-05-16 00:00:00'),\n",
       " Timestamp('2014-06-20 00:00:00'),\n",
       " Timestamp('2014-07-18 00:00:00'),\n",
       " Timestamp('2014-08-15 00:00:00'),\n",
       " Timestamp('2014-09-19 00:00:00'),\n",
       " Timestamp('2014-10-17 00:00:00'),\n",
       " Timestamp('2014-11-21 00:00:00')]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mats = sorted(set(option_quotes['MATURITY']))\n",
    "mats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "v0 = 17.6639"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "tol = 0.4\n",
    "to_plot = option_quotes[(option_quotes['STRIKE'] > (1 - tol) * v0)\n",
    "                      & (option_quotes['STRIKE'] < (1 + tol) * v0)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns; sns.set()\n",
    "import matplotlib\n",
    "matplotlib.rcParams['font.family'] = 'serif'\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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byGOPPckNN7T3Kj8NUU/ZVWzqVCulpdXTpJSWWpgyxerHiEREJBBcXJBVaY4e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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11a260890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "markers = ['.', 'o', '^', 'v', 'x', 'D', 'd', '>', '<']\n",
    "plt.figure(figsize=(10, 6));\n",
    "for i, mat in enumerate(mats):\n",
    "    strikes = to_plot[(to_plot['MATURITY'] == mat)]['STRIKE']\n",
    "    prices = to_plot[(to_plot['MATURITY'] == mat)]['PRICE']\n",
    "    plt.plot(strikes, prices, 'b%s' % markers[i], label=str(mat)[:10])\n",
    "plt.legend();\n",
    "plt.xlabel('strike');\n",
    "plt.ylabel('option quote');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The SRJD Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Term Structure Calibration"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Futures Term Structure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Int64Index: 8 entries, 496 to 503\n",
      "Data columns (total 6 columns):\n",
      "DATE         8 non-null datetime64[ns]\n",
      "EXP_YEAR     8 non-null int64\n",
      "EXP_MONTH    8 non-null int64\n",
      "PRICE        8 non-null float64\n",
      "MATURITY     8 non-null datetime64[ns]\n",
      "TTM          8 non-null float64\n",
      "dtypes: datetime64[ns](2), float64(2), int64(2)\n",
      "memory usage: 448.0 bytes\n"
     ]
    }
   ],
   "source": [
    "futures_quotes = h5['futures_data']\n",
    "futures_quotes.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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VyEhRyBIRiXJhx+FEddOZ9aiO1XG4ooGO8JlxVGkpiVxQmtfVQzWtOJu8bHccVSxdR04k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\n8P+j6ZI3meS7owAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11c657dd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = futures_quotes.plot(x='MATURITY', y='PRICE',\n",
    "                         figsize=(10, 6), legend=False)\n",
    "futures_quotes.plot(x='MATURITY', y='PRICE', style='ro', ax=ax);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append('scripts/')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 1.000 17.500  1.000    35.99817\n",
      " 0.258 40.585  0.057     5.61895\n",
      " 1.575 46.996  0.392     0.22958\n",
      " 2.525 46.207  0.710     0.06348\n",
      " 3.447 44.752  0.972     0.04264\n",
      " 3.538 44.458  0.903     0.04261\n",
      " 3.947 43.495  0.610     0.04243\n",
      " 4.113 43.102  0.275     0.04219\n",
      " 4.187 42.969  0.019     0.04213\n",
      " 4.169 42.984  0.002     0.04213\n",
      " 4.170 42.984  0.000     0.04213\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 0.042129\n",
      "         Iterations: 292\n",
      "         Function evaluations: 526\n"
     ]
    }
   ],
   "source": [
    "%run scripts/srjd_fwd_calibration.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  4.17 ,  42.984,   0.   ])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "opt.round(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 17.6639    ,  18.37130183,  19.22831373,  19.97504105,\n",
       "        20.3916346 ,  20.69048824,  20.95488999,  21.10239774,  21.23092346])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from srjd_fwd_calibration import *\n",
    "srd_fwds = srd_forwards(opt)\n",
    "srd_fwds"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.        ,  0.52130183, -0.32168627,  0.02504105, -0.0083654 ,\n",
       "       -0.00951176,  0.00488999,  0.05239774, -0.01907654])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "srd_fwds - forwards"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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jV3Uav8ho/KpOYxeZeBu/mmpntX27q3h2LRTavvzy6DYeZ58dKGnjcfbZQRo1OjozxNv4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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d081190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6));\n",
    "plt.plot(ttms, forwards, 'b', label='market prices');\n",
    "plt.plot(ttms, srd_fwds, 'ro', label='model prices');\n",
    "plt.legend(loc=0);\n",
    "plt.xlabel('time-to-maturity (year fractions)');\n",
    "plt.ylabel('forward volatilities');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import pickle\n",
    "f = open('data/varphi', 'w')  # open file on disk\n",
    "## write ttms object and differences (varphi values) as dictionary\n",
    "pickle.dump({'ttms': ttms, 'varphi': srd_fwds - forwards}, f)\n",
    "f.close()  # close file"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Shifted Volatility Process"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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RJo1diT2tZftl5pzMvJ7i/wq0sirtd0LD5DqsuJPJ2q5K212amX8sJ2cDt41h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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d4e7b10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6));\n",
    "plt.bar(ttms, srd_fwds - forwards,\n",
    "            width=0.05, label='$\\\\varphi(t,\\\\alpha^*)$');\n",
    "plt.legend(loc=0);\n",
    "plt.xlabel('time-to-maturity (year fractions)');\n",
    "plt.ylabel('deterministic shift');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Option Valuation by Monte Carlo Simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Monte Carlo Valuation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Technical Implementation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Value of European call by MCS:     1.0251\n"
     ]
    }
   ],
   "source": [
    "%run scripts/srjd_simulation.py"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model Calibration"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The Python Code"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Short Maturity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from srjd_model_calibration import *\n",
    "## read option data, allow for 30% moneyness tolerance\n",
    "option_data = read_select_quotes(tol=0.3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "  its  kappa  theta  sigma   lamb     mu  delta         MSE     min_MSE\n",
      "    0  1.000 10.000  1.000  0.000 -0.200  0.000     0.15785     0.15785\n",
      "  100  1.000 20.000  3.000  0.800 -0.200  0.000     0.10867     0.01976\n",
      "  200  5.000 20.000  3.000  0.400 -0.200  0.150     0.27793     0.01976\n",
      "  300  9.000 20.000  3.000  0.000 -0.200  0.300     0.70669     0.01976\n",
      "\n",
      "  its  kappa  theta  sigma   lamb     mu  delta         MSE     min_MSE\n",
      "    0  1.000 10.000  3.000  0.400 -0.200  0.000     0.01976     0.01976\n",
      "  100  1.016  9.216  2.996  0.476 -0.124  0.001     0.01956     0.01955\n",
      "  200  1.020  9.213  3.006  0.494 -0.128  0.001     0.01955     0.01955\n",
      "  300  0.976  8.895  3.000  0.392 -0.128  0.001     0.02214     0.01955\n",
      "  400  0.977  8.869  3.002  0.394 -0.128  0.001     0.01955     0.01955\n",
      "  500  0.976  8.866  3.002  0.394 -0.128  0.001     0.01955     0.01955\n",
      "  600  0.976  8.867  3.002  0.394 -0.128  0.001     0.01955     0.01955\n",
      "Warning: Maximum number of function evaluations has been exceeded.\n",
      "CPU times: user 10.2 s, sys: 114 ms, total: 10.3 s\n",
      "Wall time: 10.4 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "opt_1 = srjd_model_calibration(option_data, p0=None,\n",
    "                               rel=False, mats=['2014-4-18'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  9.75770825e-01,   8.86539094e+00,   3.00188833e+00,\n",
       "         3.93539089e-01,  -1.28094441e-01,   1.26180667e-03])"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "opt_1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "values = []\n",
    "kappa, theta, sigma, lamb, mu, delta = opt_1\n",
    "for i, option in option_data.iterrows():\n",
    "    value = srjd_call_valuation(v0, kappa, theta, sigma,\n",
    "                                lamb, mu, delta,\n",
    "                                option['TTM'], r, option['STRIKE'],\n",
    "                                M=M, I=I, fixed_seed=True)\n",
    "    values.append(value)\n",
    "option_data['MODEL'] = values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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iz54dveR5bEg7d/3LfPy1RQzf+y47isv484c/yzsfuIyi/Kzon7xMivKzGJaf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\ncPwm8YUZDwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d57ff10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## selecting the data for the shortest maturity\n",
    "os = option_data[option_data.MATURITY == '2014-4-18']\n",
    "## selecting corresponding strike prices\n",
    "strikes = os.STRIKE.values\n",
    "## comparing the model prices with the market quotes\n",
    "fig, ax = plt.subplots(2, 1, sharex=True, figsize=(10, 6));\n",
    "ax[0].plot(strikes, os.PRICE.values, label='market quotes');\n",
    "ax[0].plot(strikes, os.MODEL.values, 'ro', label='model prices');\n",
    "ax[1].bar(strikes - 0.15, os.MODEL.values - os.PRICE.values,\n",
    "                        width=0.3);\n",
    "ax[1].set_xlim(12.5, 23);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Two Maturities"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "## read option data, allow for 17.5% moneyness tolerance\n",
    "option_data = read_select_quotes(tol=0.175)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "  its  kappa  theta  sigma   lamb     mu  delta         MSE     min_MSE\n",
      "    0  1.000 10.000  1.000  0.000 -0.200  0.000     8.71137     8.71137\n",
      "  100  1.000 20.000  3.000  0.800 -0.200  0.000     0.85126     0.10351\n",
      "  200  5.000 20.000  3.000  0.400 -0.200  0.150     0.59218     0.09015\n",
      "  300  9.000 20.000  3.000  0.000 -0.200  0.300     0.45081     0.01539\n",
      "\n",
      "  its  kappa  theta  sigma   lamb     mu  delta         MSE     min_MSE\n",
      "    0  5.000 20.000  3.000  0.800  0.400  0.000     0.01539     0.01539\n",
      "  100  4.471 19.655  3.256  0.762  0.424  0.000     0.00892     0.00892\n",
      "  200  4.010 19.231  2.730  0.761  0.575  0.002     0.00792     0.00792\n",
      "  300  4.023 18.987  2.321  0.721  0.668  0.003     0.01182     0.00688\n",
      "  400  3.803 18.830  2.115  0.722  0.701  0.003     0.00660     0.00660\n",
      "  500  3.823 18.799  2.106  0.723  0.706  0.003     0.00644     0.00644\n",
      "  600  3.998 18.681  1.916  0.728  0.749  0.003     0.00598     0.00598\n",
      "Warning: Maximum number of function evaluations has been exceeded.\n",
      "CPU times: user 11.7 s, sys: 83.6 ms, total: 11.8 s\n",
      "Wall time: 11.8 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "opt_2 = srjd_model_calibration(option_data, rel=False,\n",
    "                            mats=['2014-5-16', '2014-7-18'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  3.99997568e+00,   1.86836808e+01,   1.91679210e+00,\n",
       "         7.28298815e-01,   7.48260996e-01,   3.26197421e-03])"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "opt_2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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pCPsGZYwxxUFR7vkyxUuB46Cp6kzgPiATWAY0AioAw1R1VODjGX88Hg83XyG0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\nFJgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106a93510>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_calibration_results(option_data, opt_2, ['2014-5-16', '2014-7-18'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Four Maturities"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Timestamp('2014-04-18 00:00:00'),\n",
       " Timestamp('2014-05-16 00:00:00'),\n",
       " Timestamp('2014-06-20 00:00:00'),\n",
       " Timestamp('2014-07-18 00:00:00'),\n",
       " Timestamp('2014-08-15 00:00:00'),\n",
       " Timestamp('2014-09-19 00:00:00'),\n",
       " Timestamp('2014-10-17 00:00:00'),\n",
       " Timestamp('2014-11-21 00:00:00')]"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mats = sorted(set(option_data['MATURITY']))\n",
    "mats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Timestamp('2014-04-18 00:00:00'),\n",
       " Timestamp('2014-06-20 00:00:00'),\n",
       " Timestamp('2014-08-15 00:00:00'),\n",
       " Timestamp('2014-10-17 00:00:00')]"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mats[::2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "  its  kappa  theta  sigma   lamb     mu  delta         MSE     min_MSE\n",
      "    0  4.000 18.684  1.917  0.728  0.748  0.003     0.52345     0.52345\n",
      "  100  4.202 18.938  1.980  0.727  0.623  0.003     0.27887     0.27681\n",
      "  200  3.650 21.465  3.293  0.744 -0.075  0.002     0.18617     0.18617\n",
      "  300  3.195 22.481  2.867  0.743 -0.223  0.000     0.14915     0.14915\n",
      "  400  3.107 22.191  2.990  0.745 -0.141  0.000     0.14609     0.14608\n",
      "  500  3.081 22.162  3.028  0.743 -0.138  0.000     0.14572     0.14570\n",
      "  600  3.057 22.100  3.041  0.738 -0.124  0.000     0.14521     0.14521\n",
      "  700  3.061 22.110  3.034  0.738 -0.126  0.000     0.14517     0.14517\n",
      "Warning: Maximum number of function evaluations has been exceeded.\n",
      "CPU times: user 16.1 s, sys: 155 ms, total: 16.3 s\n",
      "Wall time: 16.4 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "opt_4 = srjd_model_calibration(option_data, p0=opt_2,\n",
    "                               rel=False, mats=mats[::2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  3.06082557e+00,   2.21100415e+01,   3.03422643e+00,\n",
       "         7.38054016e-01,  -1.25823900e-01,   1.19890649e-06])"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "opt_4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ZBaxUvDb473DypAD/uO107nvxG6bPWkdSQjUGXNAmrJmCSXnKpjwiIrJfoEuc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sAAAg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\nBuC3wHQzK/002RyYC3wvnsFE6qpWLRpz5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Bq/KhaJMayujl+R3+rJzAYTXMIdDvwWmOru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\nkYhRgSYiIiISMSrQRERERCLm/wBf9eEBqucjLwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d2f0fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_calibration_results(option_data, opt_4, mats[::2])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### All Maturities"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "  its  kappa  theta  sigma   lamb     mu  delta         MSE     min_MSE\n",
      "    0  1.000 10.000  1.000  0.000 -0.200  0.000    12.79035    12.79035\n",
      "  100  1.000 20.000  3.000  0.800 -0.200  0.000     1.13623     0.13849\n",
      "  200  5.000 20.000  3.000  0.400 -0.200  0.150     1.08765     0.13849\n",
      "  300  9.000 20.000  3.000  0.000 -0.200  0.300     1.27175     0.13849\n",
      "\n",
      "  its  kappa  theta  sigma   lamb     mu  delta         MSE     min_MSE\n",
      "    0  1.000 20.000  3.000  0.400  0.400  0.150     0.13849     0.13849\n",
      "  100  1.007 20.567  2.921  0.396  0.326  0.155     0.12039     0.11935\n",
      "  200  1.018 21.609  3.266  0.404  0.032  0.163     0.10182     0.10096\n",
      "  300  1.033 22.713  3.222  0.407 -0.123  0.155     0.09869     0.09863\n",
      "  400  1.542 23.755  3.235  0.409 -0.985  0.067     0.08329     0.08120\n",
      "  500  1.860 23.848  2.967  0.410 -1.297  0.002     0.07686     0.07686\n",
      "  600  1.868 23.863  2.956  0.410 -1.303 -0.000  1000.07683     0.07683\n",
      "Warning: Maximum number of function evaluations has been exceeded.\n",
      "CPU times: user 45.5 s, sys: 208 ms, total: 45.7 s\n",
      "Wall time: 45.8 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "opt_8_MSAE = srjd_model_calibration(option_data,\n",
    "                                rel=False, mats=mats)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  1.86781293e+00,   2.38625952e+01,   2.95539873e+00,\n",
       "         4.10158642e-01,  -1.30281337e+00,   8.30841775e-08])"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "opt_8_MSAE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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/sMoLUxyQjFWwtk4eziQQAjwHFABdgWdVdb3Hn6AJczgc9O7all5d2vBr1jY+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\nZA/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+3b/TWffxAe1xEqjEXr/R+dztHaSrQzF7vtxjnpHBSrgL0O4EJqrqU80PiIgnHxu+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\nMzMzMyuMGzQzMzOzwvwXebTcX1I7lj0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11fa565d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_calibration_results(option_data, opt_8_MSAE, mats)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "  its  kappa  theta  sigma   lamb     mu  delta         MSE     min_MSE\n",
      "    0  1.868 23.863  2.955  0.410 -1.303  0.000     0.02551     0.02551\n",
      "  100  1.599 24.888  2.619  0.392 -1.381  0.000     0.02099     0.02099\n",
      "  200  1.015 26.443  2.737  0.388 -1.676  0.000     0.02017     0.02017\n",
      "  300  0.915 27.147  2.723  0.388 -1.947  0.000     0.02046     0.02011\n",
      "  400  0.920 27.175  2.719  0.388 -2.142  0.000     0.02010     0.02010\n",
      "  500  0.927 27.082  2.724  0.389 -2.373  0.000     0.02009     0.02009\n",
      "  600  0.925 27.083  2.722  0.389 -2.409  0.000     0.02009     0.02009\n",
      "  700  0.925 27.086  2.722  0.389 -2.409  0.000     0.02009     0.02009\n",
      "Warning: Maximum number of function evaluations has been exceeded.\n",
      "CPU times: user 32 s, sys: 152 ms, total: 32.2 s\n",
      "Wall time: 32.3 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "opt_8_MSRE = srjd_model_calibration(option_data, p0=opt_8_MSAE,\n",
    "                                    rel=True, mats=mats)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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NjH9vIae3bcr57ZNo3yr+qCdn96XpkiVVFoYqXbKETfX8fXnpZwZ1H09W1pm8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XAAAg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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11dfab290>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_calibration_results(option_data, opt_8_MSRE, mats)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Python Scripts"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### srjd_fwd_calibration.py"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### srjd_simulation.py "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### srjd_model_calibration.py"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>\n",
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   ]
  }
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